Question 5 of 25

A survey was taken of twenty dentists about Sparkly toothpaste. Sixteen of the dentists recommended Sparkly toothpaste to their

Bas_tet [7]

Answer: There are 40 dentists who would recommended Sparkly toothpaste to their patients .

Step-by-step explanation:

Since we have given that

Out of 20 dentists, a survey was taken of about Sparkly toothpaste,

Number of dentists recommended Sparkly toothpaste to their patients = 16

Percentage of dentists who recommended Sparkly toothpaste to their patients be

$\frac{16}{20}\times 100=80\%$

Out of 30 dentists, a survey was taken of about Sparkly toothpaste,

Number of dentists recommended Sparkly toothpaste to their patients = 24

Similarly,

Percentage of dentists who recommended Sparkly toothpaste to their patients be

$\frac{24}{30}\times 100=80\%$

Now, we have asked to find the number of dentists recommended Sparkly toothpaste to their patients if survey was taken of 50 dentists.

As we have seen that there is always 80% of total number of dentists surveyed have recommended Sparkly toothpaste to their patients ,

so, According to this pattern , we get that

$\frac{80}{100}\times 50=40$

Hence, there are 40 dentists who would recommended Sparkly toothpaste to their patients .

5 0

3 years ago

Divide 735 in the ratio 3:2

Irina18 [472]

First add the 2 numbers in the ratio:

3+2 = 5

divide the 735 by 5:

735 / 5 = 147

now multiply 147 by 3 and then by 2 and that will be the ratios:

147 * 3 = 441

147 * 2 = 294

6 0

3 years ago

Find the x-coordinate of the vertex, y-coordinate of the vertex, and the x-intercepts.

galina1969 [7]

Answer:

X=-1

Y=-9

Step-by-step explanation:

x^2+2x-8

x^2+2x +1 =8+1

(x+1)-9

3 0

3 years ago

Need pre-cal help. Will mark best answer brainliest

OlgaM077 [116]

so, let's keep in mind that

$\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}$

so let's make a quick table of those solutions, say A, B, C solutions with x,y,z liters of acid, with an acidity of 0.25, 0.40 and 0.60 respectively.

$\bf \begin{array}{lcccl} &\stackrel{solution}{quantity}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{liters of }}{amount}\\ \cline{2-4}&\\ A&x&0.25&0.25x\\ B&y&0.40&0.4y\\ C&z&0.60&0.6z\\ \cline{2-4}&\\ mixture&78&0.45&35.1 \end{array} \\\\\\ \begin{cases} x+y+z=78\\ 0.25x+0.4y+0.6z=35.1 \end{cases}$

we know she's using "z" liters and those are 3 times as much as "y" liters, so z = 3y.

$\bf \begin{cases} x+y+3y=78\\ x+4y=78\\[-0.5em] \hrulefill\\ 0.25x+0.4y+0.6(3y)=35.1\\ 0.25x+0.4y=1.8y=35.1\\ 0.25x+2.2y=35.1 \end{cases}\implies \begin{cases} x+4y=78\\\\ 0.25x+2.2y=35.1 \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ x+4y=78\implies \boxed{x}=78-4y \\\\\\ \stackrel{\textit{using substitution on the 2nd equation}}{0.25\left( \boxed{78-4y} \right)+2.2y=35.1}\implies 19.5-y+2.2y=35.1$

$\bf 1.2y=15.6\implies y=\cfrac{15.6}{1.2}\implies \blacktriangleright y=13 \blacktriangleleft \\\\\\ x=78-4y\implies x=78-4(13)\implies \blacktriangleright x=26 \blacktriangleleft \\\\\\ z=3y\implies z=3(13)\implies \blacktriangleright z=39 \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{25\%}{26}\qquad \stackrel{40\%}{13}\qquad \stackrel{60\%}{39}~\hfill$

5 0

3 years ago

Algebra help - asymptotes

motikmotik

Find where the equation is undefined ( when the denominator is equal to 0.

Since they say x = 5, replace x in the equation see which ones equal o:

5-5 = 0

So we know the denominator has to be (x-5), this now narrows it down to the first two answers.

To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.

In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)

so the degrees would be equal.

Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.

This makes the first choice the correct answer.

8 0

3 years ago